Here is a data set summarized as a stem-and-leaf plot:
4# | 0033468889
5# 001222455678889
6# | 04449
7#
How many data values are in this data set?

What is the minimum value in the last class?
ans =
What is the frequency of the modal class? (Hint, what is the mode?)
frequency =
How many of the original values are greater than 60 ?
ans =

Question

Here is a data set summarized as a stem-and-leaf plot:
4# | 0033468889
5# 001222455678889
6# | 04449
7#

How many data values are in this data set?

What is the minimum value in the last class?
ans =
What is the frequency of the modal class? (Hint, what is the mode?)
frequency =
How many of the original values are greater than 60 ?
ans =

UpStudy AI · Accepted Answer

Let's analyze the provided stem-and-leaf plot to answer each question step-by-step.

### Stem-and-Leaf Plot Interpretation

The stem represents the tens place, and the leaves represent the units place. Here's the breakdown:

- **4# | 0033468889**  
  Values: 40, 40, 43, 43, 44, 46, 48, 48, 48, 49  
  **Count:** 10

- **5# | 001222455678889**  
  Values: 50, 50, 51, 52, 52, 52, 54, 55, 55, 56, 57, 58, 58, 58, 59  
  **Count:** 15

- **6# | 04449**  
  Values: 60, 64, 64, 64, 69  
  **Count:** 5

- **7# | 899**  
  Values: 78, 79, 79  
  **Count:** 3

### 1. Total Number of Data Values ($$ n $$)

To find the total number of data values, add up the counts from each stem:

$$
n = 10 \, (\text{4#}) + 15 \, (\text{5#}) + 5 \, (\text{6#}) + 3 \, (\text{7#}) = 33
$$

**Answer:**  
$$ n = 33 $$

### 2. Minimum Value in the Last Class

The last class is **7#**, which includes the values **78, 79, 79**. The minimum value in this class is **78**.

**Answer:**  
**78**

### 3. Frequency of the Modal Class

The **modal class** refers to the class with the highest frequency. From the counts:

- **4#:** 10  
- **5#:** 15  
- **6#:** 5  
- **7#:** 3

The **5# class** has the highest frequency of **15**.

**Answer:**  
**15**

### 4. Number of Values Greater Than 60

Values greater than 60 are found in the **6#** and **7#** stems:

- **6#:** 64, 64, 64, 69 (excluding 60, since it's not greater than 60)  
- **7#:** 78, 79, 79

Total values greater than 60:

$$
4 \, (\text{from 6#}) + 3 \, (\text{from 7#}) = 7
$$

**Answer:**  
**7**
- Total data values: 33 - Minimum value in the last class: 78 - Frequency of the modal class: 15 - Number of values greater than 60: 7

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